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CMSB
2007
Springer
14 years 5 months ago
A Unifying Framework for Modelling and Analysing Biochemical Pathways Using Petri Nets
We give a description of a Petri net-based framework for modelling and analysing biochemical pathways, which unifies the qualitative, stochastic and continuous paradigms. Each per...
David Gilbert, Monika Heiner, Sebastian Lehrack
HYBRID
2007
Springer
14 years 5 months ago
Computational Approaches to Reachability Analysis of Stochastic Hybrid Systems
This work investigates some of the computational issues involved in the solution of probabilistic reachability problems for discretetime, controlled stochastic hybrid systems. It i...
Alessandro Abate, Saurabh Amin, Maria Prandini, Jo...
CDC
2010
IEEE
167views Control Systems» more  CDC 2010»
13 years 5 months ago
Numerical methods for the optimization of nonlinear stochastic delay systems, and an application to internet regulation
The Markov chain approximation method is an effective and widely used approach for computing optimal values and controls for stochastic systems. It was extended to nonlinear (and p...
Harold J. Kushner
CDC
2008
IEEE
120views Control Systems» more  CDC 2008»
14 years 5 months ago
Approximate abstractions of discrete-time controlled stochastic hybrid systems
ate Abstractions of Discrete-Time Controlled Stochastic Hybrid Systems Alessandro D’Innocenzo, Alessandro Abate, and Maria D. Di Benedetto — This work proposes a procedure to c...
Alessandro D'Innocenzo, Alessandro Abate, Maria Do...
CDC
2008
IEEE
137views Control Systems» more  CDC 2008»
14 years 5 months ago
An approximate dynamic programming approach to probabilistic reachability for stochastic hybrid systems
— This paper addresses the computational overhead involved in probabilistic reachability computations for a general class of controlled stochastic hybrid systems. An approximate ...
Alessandro Abate, Maria Prandini, John Lygeros, Sh...